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Theorem simpl3r 1020
Description: Simplification of conjunction. (Contributed by NM, 9-Mar-2012.)
Assertion
Ref Expression
simpl3r (((𝜒𝜃 ∧ (𝜑𝜓)) ∧ 𝜏) → 𝜓)

Proof of Theorem simpl3r
StepHypRef Expression
1 simp3r 993 . 2 ((𝜒𝜃 ∧ (𝜑𝜓)) → 𝜓)
21adantr 272 1 (((𝜒𝜃 ∧ (𝜑𝜓)) ∧ 𝜏) → 𝜓)
Colors of variables: wff set class
Syntax hints:  wi 4  wa 103  w3a 945
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-ia1 105  ax-ia2 106  ax-ia3 107
This theorem depends on definitions:  df-bi 116  df-3an 947
This theorem is referenced by:  tfisi  4469  ltmul1a  8316  lemul1a  8576  xrbdtri  10996  dvdscmulr  11429  dvdsmulcr  11430  dvdsadd2b  11447
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